On Log Canonical Models of the Moduli Space of Stable Pointed Curves

Abstract

We study the log canonical models of the moduli space MBar_{0,n} of pointed stable genus zero curves with respect to the standard log canonical divisors K+aD, where D denotes the boundary. In particular we show that, as a formal consequence of a conjecture by Fulton regarding the ample cone of MBar_{0,n}, these log canonical models are equal to certain of Hassett's weighted pointed curve spaces.

17 pages, 2 figures

References in corpus (2)

• Existence of minimal models for varieties of log general type
• Log canonical models for the moduli space of curves: First divisorial contraction

Cited by in corpus (6)

• Moduli spaces of weighted pointed stable rational curves via GIT
• Modular compactifications of M_{1,n}
• GIT Constructions of Moduli Spaces of Stable Curves and Maps
• Towards Mori's program for the moduli space of stable maps
• Log canonical models for the moduli space of pointed stable rational curves
• Mori's program for the moduli space of pointed stable rational curves